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PERIODIC MOTION                           333
17. A particle is in equilibrium at a point midway between two centers of attraction, which attract the particle with forces proportional to the
distance.   Show that if the particle is displaced toward one of the centers
c\
it will vibrate with a period of   /         =, where K and K' are the forces
VK+ K'
which a unit mass would experience when placed at a unit distance from each center of force.